Orbit of figure eight 3 or more bodies

AI Thread Summary
To set up initial conditions for a three-body figure-eight orbit, specific position and velocity vectors must be defined for each body, along with their respective masses. The governing equations involve the force equations f=mi*x'' and f=SUM(mi*mj*r/|r|^2), which lead to a differential equation for the system. The discussion references additional resources for further understanding and examples of similar orbital simulations. The links provided lead to a website with detailed information on orbits and previous discussions on the topic. Understanding these principles is crucial for accurately modeling the dynamics of a three-body system in a figure-eight formation.
renegade05
Messages
52
Reaction score
0
If I wanted to set up some initial conditions for a 3 body figure eight orbit, what would I have to set the position and velocity vectors?

Say I have three vector inputs:
initial position <x,y>
initial velocity <x,y>
mass of bodies <m1,m2,m3>

The solutions for position use
f=mi*x''
f=SUM(mi*mj*r/|r|^2)

and equating the two to get a differential equation.

Hope this make sense.

See this for a reference of what I am trying to do:
http://www.ams.org/samplings/feature-column/fcarc-orbits3
 
Physics news on Phys.org
We discussed this on my website. You can find some info here:
http://www.orbitsimulator.com/cgi-bin/yabb/YaBB.pl?num=1181200864/0
http://www.orbitsimulator.com/cgi-bin/yabb/YaBB.pl?num=1250625868/0#0
 
Thread 'Question about pressure of a liquid'

Thread 'Question about pressure of a liquid'

I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
View full post »

Thread 'Why is the 3 body problem unsolvable? And what will happen if someone solves it?'

I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
View full post »

Similar threads

I Planetary orbits - the 2-body problem
2
Replies
84
Views
6K
A N-Body inputs from Keplerian Orbits
Replies
6
Views
2K
I Rosetta orbits and phase space
Replies
20
Views
2K
I Stability of circular orbits in an arbitrary central force field
Replies
3
Views
2K
A Solving the Three Body Problem for Proton Decay Trajectory
Replies
1
Views
1K
Issues with Apollo 11 TLI Simulation – Discrepancies in Return Orbit
Replies
3
Views
1K
Initial conditions for orbits around a wormhole
Replies
4
Views
250
Gravitational equations used in model of orbiting bodies
Replies
8
Views
2K
MATLAB Question about how solve 2 body problem in orbit using MATLAB ode45
Replies
6
Views
3K
Two body problem, velocities of two bodies, relative velocity given
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top